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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 12, Pages 2077–2085
DOI: https://doi.org/10.1134/S0044466919120068 (Mi zvmmf10998) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On variational and pde-based methods for accurate distance function estimation

A. G. Belyaevab, P.-A. Fayolleab

a Computer Graphics Laboratory, University of Aizu, Aizu-Wakamatsu, Japan
b Institute of Sensors, Signals and Systems, School of Engineering & Physical Sciences Heriot-Watt University, Edinburgh, UK
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DOI: https://doi.org/10.1134/S0044466919120068
Abstract: A new variational problem for accurate approximation of the distance from the boundary of a domain is proposed and studied. It is shown that the problem can be efficiently solved by the alternating direction method of multipliers. Links between this problem and $p$-Laplacian diffusion are established and studied. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments.
Key words: distance function, $p$-Laplacian, variational methods.
Received: 01.07.2019
Revised: 01.07.2019
Accepted: 05.08.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 12, Pages 2009–2016
DOI: https://doi.org/10.1134/S0965542519120066
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. G. Belyaev, P.-A. Fayolle, “On variational and pde-based methods for accurate distance function estimation”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019), 2077–2085; Comput. Math. Math. Phys., 59:12 (2019), 2009–2016
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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